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Finding the Fourth Proportional to 159,661.83, 239,658.82 and 117,589.42

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Solution

The fourth proportional to 159,661.83, 239,658.82 and 117,589.42 is: 176,506.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,661.83 : 239,658.82 = 117,589.42 : x
  2. Step 2: Convert to fraction form
    159,661.83/239,658.82 = 117,589.42/x
  3. Step 3: Cross multiply
    159,661.83x = 239,658.82 × 117,589.42
  4. Step 4: Simplify right side
    159,661.83x = 28,181,339,855.44
  5. Step 5: Solve for x
    x = 28,181,339,855.44/159,661.83
  6. Step 6: Final answer
    x = 176,506.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.